V I Ferronsky

(Author)

Jacobi Dynamics: Many-Body Problem in Integral Characteristics (1987)Hardcover - 1987, 31 December 1986

Jacobi Dynamics: Many-Body Problem in Integral Characteristics (1987)
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Part of Series
Astrophysics and Space Science Library
Part of Series
Astrophysics and Space Science Library (Hardcover)
Part of Series
Astrophysics and Space Science Library Astrophysics and Spac
Print Length
371 pages
Language
English
Publisher
Springer
Date Published
31 Dec 1986
ISBN-10
9027724180
ISBN-13
9789027724182

Description

This book sets forth and builds upon the fundamentals of the dynamics of natural systems in formulating the problem presented by Jacobi in his famous lecture series "Vorlesungen tiber Dynamik" (Jacobi, 1884). In the dynamics of systems described by models of discrete and continuous media, the many-body problem is usually solved in some approximation, or the behaviour of the medium is studied at each point of the space it occupies. Such an approach requires the system of equations of motion to be written in terms of space co-ordinates and velocities, in which case the requirements of an internal observer for a detailed description of the processes are satisfied. In the dynamics discussed here we study the time behaviour of the fundamental integral characteristics of the physical system, i. e. the Jacobi function (moment of inertia) and energy (potential, kinetic and total), which are functions of mass density distribution, and the structure of a system. This approach satisfies the requirements of an external observer. It is designed to solve the problem of global dynamics and the evolution of natural systems in which the motion of the system's individual elements written in space co-ordinates and velocities is of no interest. It is important to note that an integral approach is made to internal and external interactions of a system which results in radiation and absorption of energy. This effect constitutes the basic physical content of global dynamics and the evolution of natural systems.

Product Details

Authors:
V I FerronskyS a DenisikS V Ferronsky
Book Edition:
1987
Book Format:
Hardcover
Country of Origin:
US
Date Published:
31 December 1986
Dimensions:
24.23 x 15.85 x 2.72 cm
ISBN-10:
9027724180
ISBN-13:
9789027724182
Language:
English
Location:
Dordrecht
Pages:
371
Publisher:
Weight:
757.5 gm

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